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  2. In Search Of Dispersed Memories: Generative Diffusion Models Are Associative Memory Networks.
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In Search of Dispersed Memories: Generative Diffusion Models Are Associative Memory Networks.

Luca Ambrogioni1

  • 1Donders Institute for Brain, Cognition, and Behaviour, Radboud University, 6525 XZ Nijmegen, The Netherlands.

Entropy (Basel, Switzerland)
|May 24, 2024

View abstract on PubMed

Summary
This summary is machine-generated.

Generative diffusion models are equivalent to modern Hopfield networks for associative memory. This discovery unifies creative generation and memory recall within a single framework for understanding long-term memory formation.

Keywords:
associative memory networksgenerative diffusion modelshopfield networks

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Area of Science:

  • Neuroscience
  • Artificial Intelligence
  • Machine Learning

Background:

  • Understanding long-term memory mechanisms is a key challenge in neuroscience and AI.
  • Artificial associative memory networks model biological memory aspects.
  • Generative diffusion models excel at various machine learning tasks.

Purpose of the Study:

  • To interpret generative diffusion models as energy-based models.
  • To establish an equivalence between diffusion models and modern Hopfield networks.
  • To develop a unified framework for long-term memory, creative generation, and recall.

Main Methods:

  • Interpreting generative diffusion models as energy-based models.
  • Training diffusion models on discrete patterns.
  • Analyzing the energy function of trained diffusion models.
  • Comparing the energy function to that of modern Hopfield networks.
  • Main Results:

    • Generative diffusion models can be viewed as energy-based models.
    • When trained on discrete patterns, their energy function is identical to modern Hopfield networks.
    • Supervised training of diffusion models corresponds to synaptic learning in Hopfield networks.

    Conclusions:

    • A strong theoretical link exists between generative diffusion models and modern Hopfield networks.
    • This connection provides a new perspective on synaptic learning and associative dynamics.
    • A unified framework for long-term memory, encompassing generation and recall, is proposed.